Question

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4

Answer 1

Answer:

1/2

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

$y = kx$

When y = 2, x = 4;

So, we have:

$2 = k * 4$

$2 = 4k$

$4k = 2$

Make k the subject

$k = \frac{2}{4}$

$k = \frac{1}{2}$

Hence, the constant of proportionality is 1/2